NVAMediumJEE Main 2023 · 25 January, Shift 1Composition & Inverse Functions

Mathematics Question from JEE Main 2023 · 25 January, Shift 1

For some a,b,cNa, b, c \in \mathbb{N}, let f(x)=ax3f(x) = ax - 3 and g(x)=xb+cg(x) = x^b + c, xRx \in \mathbb{R}. If (fg)1(x)=(x72)1/3(f \circ g)^{-1}(x) = \left(\frac{x - 7}{2}\right)^{1/3}, then (fg)(ac)+(gf)(b)(f \circ g)(ac) + (g \circ f)(b) is equal to _____.

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Composition & Inverse Functions questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions